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What is the Least Common Multiple of 62649 and 62666?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 62649 and 62666 is 3925962234.

LCM(62649,62666) = 3925962234

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Least Common Multiple of 62649 and 62666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62649 and 62666, than apply into the LCM equation.

GCF(62649,62666) = 1
LCM(62649,62666) = ( 62649 × 62666) / 1
LCM(62649,62666) = 3925962234 / 1
LCM(62649,62666) = 3925962234

Least Common Multiple (LCM) of 62649 and 62666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62649 and 62666. First we will calculate the prime factors of 62649 and 62666.

Prime Factorization of 62649

Prime factors of 62649 are 3, 6961. Prime factorization of 62649 in exponential form is:

62649 = 32 × 69611

Prime Factorization of 62666

Prime factors of 62666 are 2, 31333. Prime factorization of 62666 in exponential form is:

62666 = 21 × 313331

Now multiplying the highest exponent prime factors to calculate the LCM of 62649 and 62666.

LCM(62649,62666) = 32 × 69611 × 21 × 313331
LCM(62649,62666) = 3925962234